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Finding the Third Proportional to 346,488,912 and 770,447,160

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Solution

The third proportional to 346,488,912 and 770,447,160 is: 1,713,153,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488,912 : 770,447,160 = 770,447,160 : x
  2. Step 2: Convert to fraction form
    346,488,912/770,447,160 = 770,447,160/x
  3. Step 3: Cross multiply
    346,488,912x = 770,447,160 × 770,447,160
  4. Step 4: Simplify right side
    346,488,912x = 593,588,826,352,065,536
  5. Step 5: Solve for x
    x = 593,588,826,352,065,536/346,488,912
  6. Step 6: Final answer
    x = 1,713,153,886.88

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.